压电网络板的机电耦合动力学特性

借鉴复合材料结构建模中的均匀化处理方法建立了压电网络板机电耦合动力学方程并对其进行求解，获得了耦合系统的频率特征方程；通过求解频率特征方程发现压电网络板的固有模态以耦合模态对的形式存在；在此基础上对耦合系统的频率特性进行了分析，表明耦合模态对的特征频率值随着电感的变化会出现频率转向现象.进一步通过对系统在频率转向区能量转换规律的研究，揭示了压电网络板中频率转向的意义.最后，分析了压电网络板设计参数对频率转向区特性的影响，为压电网络板的合理设计提供了理论参考.

Electromechanical coupled dynamic characteristics of the plate with piezoelectric network

Electromechanical coupled dynamic equations of the plate with piezoelectric network were established which was based on homogenization method of modeling composite structure. The characteristic equation of this coupled system was obtained by solving the dynamic equations. Through solving the characteristic equations it is found that the nature modes of the system always appear in coupled pairs, and the varying of frequencies corresponding to the coupled modal pairs with the inductance has a veer. Further analysis on the energy exchange in frequency veering zones of the system gave the mechanism of the frequency veering phenomena. At last, impacts of design parameters to frequency veering zones were studied, which provides theoretical reference for reasonable design of the plate with piezoelectric network.